We present an introduction to the nonlinear Schrodinger equation (NLSE) with concentrated nonlinearities in R 2. Precisely, taking a cue from the linear problem, we sketch the main challenges and the typical difficulties that arise in the two-dimensional case, and mention some recent results obtained by the authors on local and global well-posedness.

An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions

Correggi, M.;
2018-01-01

Abstract

We present an introduction to the nonlinear Schrodinger equation (NLSE) with concentrated nonlinearities in R 2. Precisely, taking a cue from the linear problem, we sketch the main challenges and the typical difficulties that arise in the two-dimensional case, and mention some recent results obtained by the authors on local and global well-posedness.
nonlinear Schrodinger equation; nonlinear delta interactions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1134368
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